Abstract

We present a simple spiking model that extends the classical integrate-and-fire neuron to reproduce the different dynamical behaviors observed
in cerebellar granule cells. The model is two-dimensional: in addition
to the membrane potential V , we consider a gating variable that models
a slow K+ current. This current plays a major role in generating the
rhythmic behavior and resonance in the model. Despite its simplicity this
model is able to reproduce most of the properties observed in granule cell
recordings and in numerical simulations with high-dimensional Hodgkin-Huxley models.